How Not to Build Microcrypt

arXiv:2609.30253 · quant-ph · Submitted 2026-09-24 · Read on arXiv

quant-ph

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Fidelity — 12× in this paper · explained in 2 episodes
• Trace — 9× in this paper · explained in 2 episodes
• Verifier — 8× in this paper · explained in 2 episodes
• Trace Distance — 7× in this paper · explained in 3 episodes
• Verification — 7× in this paper · explained in 2 episodes
• Shadow Tomography — 5× in this paper · explained in 4 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Stabilizer States — 4× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Core — 2× in this paper · explained in 2 episodes
• BQP — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative AI — 1× in this paper · explained in 2 episodes

Sources

• Shadow Tomography of Quantum States
• Quantum Pseudoentanglement
• Gluing Random Unitaries with Inverses and Applications to Strong Pseudorandom Unitaries
• Pseudorandom Unitaries in the Haar Random Oracle Model
• Pseudorandom Isometries
• Cryptography in the Common Haar State Model: Feasibility Results and Separations
• Scalable, quantum-accessible, and adaptive pseudorandom quantum state and pseudorandom function-like quantum state generators
• Efficient Quantum Pseudorandomness from Hamiltonian Phase States
• Real-Valued Somewhat-Pseudorandom Unitaries
• (Pseudo) Random Quantum States with Binary Phase
• Efficient unitary designs and pseudorandom unitaries from permutations
• On the Computational Hardness of Quantum One-Wayness
• Fast pseudorandom quantum state generators via inflationary quantum gates
• Unitary designs in nearly optimal depth
• Random unitaries from Hamiltonian dynamics
• Arts & crafts: Strong random unitaries and geometric locality
• Quantum Lazy Sampling and Path Recording for Any Group
• Random Unitaries in Constant (Quantum) Time
• Pseudorandomness from Subset States
• Computational Complexity of Learning Efficiently Generatable Pure States

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity